1. Functions and Modeling

Polynomial Functions — Quiz

Test your understanding of polynomial functions with 5 practice questions.

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Practice Questions

Question 1

Which of the following is the correct end behavior of the polynomial function $f(x) = -2x^4 + 3x^3 - x + 5$?

Question 2

What is the multiplicity of the zero at $x = 2$ for the polynomial $g(x) = (x - 2)^3(x + 1)(x - 4)^2$?

Question 3

Which of the following is a possible polynomial function with zeros at $x = -3$, $x = 1$, and $x = 5$ and with a leading coefficient of 2?

Question 4

A polynomial function $h(x)$ has a degree of 5 and exactly 3 distinct real zeros. Which of the following could be the correct combination of zeros and their multiplicities?

Question 5

Which polynomial function has a graph that passes through the point $(0, -12)$ and has zeros at $x = -2$, $x = 1$, and $x = 3$?